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Finding the Fourth Proportional to 560,570.95, 838,734.19 and 343,658.21

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Solution

The fourth proportional to 560,570.95, 838,734.19 and 343,658.21 is: 514,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,570.95 : 838,734.19 = 343,658.21 : x
  2. Step 2: Convert to fraction form
    560,570.95/838,734.19 = 343,658.21/x
  3. Step 3: Cross multiply
    560,570.95x = 838,734.19 × 343,658.21
  4. Step 4: Simplify right side
    560,570.95x = 288,237,890,401.20
  5. Step 5: Solve for x
    x = 288,237,890,401.20/560,570.95
  6. Step 6: Final answer
    x = 514,186.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.